In a survey of 1000 randomly selected adults in the United States, participants

Question

In a survey of 1000 randomly selected adults in the United States, participants were asked what their most favorite and what their least favorite subject was when they were in school (Associated Press, August 17, 2005). In what might seem like a contradiction, math was chosen more often than any other subject in both categories! Math was chosen by 238 of the 1000 as the favorite subject, and it was also chosen by 370 of the 1000 as the least favorite subject. (a) Construct a 95% confidence interval for the proportion of U.S. adults for whom math was the favorite subject in school. (Give the answers to four decimal places.) (C (b) Construct a 95% confidence interval for the proportion of U.S. adults for whom math was the least favorite subject. (Give the answers to four decimal places.) CO You may need to use the appropriate table in Appendix A to answer this question. My Notes A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label. How many packages of ground beef should be tested to estimate this proportion to within 0.04 with 90% confidence? (Round your answer up to the next whole number.) packages You may need to use the appropriate table in Appendix A to answer this question.

Explanation / Answer

a) p=238/1000=0.238

hence std error =(p(1-p)/n)1/2 =0.0135

for 95% CI, z=1.96

hence confidence interval =p+/- z*Std error =0.2116 ; 0.2644

b)confidence interval =0.3401 ; 0.3999

11)here margin of error E=0.04

for 90% CI, z=1.64485

here as proportion not given we will use p=0.5

hence sample size =(p(1-p))*(Z/E)2 =~423

please revert

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